Algebraic Functions

Practice Questions

PSAT Math › Algebraic Functions

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1

What is the range of the function y = _x_2 + 2?

2

What is the range of the function y = _x_2 + 2?

3

If f(x) = _x_2 – 5 for all values x and f(a) = 4, what is one possible value of a?

4

If f(x) = _x_2 – 5 for all values x and f(a) = 4, what is one possible value of a?

5

6

7

An outpost has the supplies to last 2 people for 14 days. How many days will the supplies last for 7 people?

8

An outpost has the supplies to last 2 people for 14 days. How many days will the supplies last for 7 people?

9

f(x) = 4x + 2

g(x) = 3x - 1

The two equations above define the functions f(x) = g(x). If f(d) = 2g(d) for some value of d, then what is the value of d?

10

Let $f(x)$ and $g(x)$ be functions such that $f(x)=\frac{1}{x-3}$ , and $f(g(x))=g(f(x))=x$ . Which of the following is equal to $g(x)$ ?

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